it is well known that the matrix exponential function has practical applications in engineering and applied sciences. in this paper, we present some new explicit identities to the exponential functions of a special class of matrices that are known as central-symmetric $x$-form. for instance, $e^{mathbf{a}t}$, $t^{mathbf{a}}$ and $a^{mathbf{a}t}$ will be evaluated by the new formulas in this par...

the purpose of this review article is to characterize all of the parameters regarding the types, polymers used, and release kinetics of matrix tablets. matrix system was the earliest oral extended release platform for medicinal use. matrix tablets are most commonly used methods to modulate the release profile of drugs. they are much desirable and preferred for such therapy because they offer be...

abstract. let mn;m be the set of n-by-m matrices with entries inthe field of real numbers. a matrix r in mn = mn;n is a generalizedrow substochastic matrix (g-row substochastic, for short) if re e, where e = (1; 1; : : : ; 1)t. for x; y 2 mn;m, x is said to besgut-majorized by y (denoted by x sgut y ) if there exists ann-by-n upper triangular g-row substochastic matrix r such thatx = ry . th...

Penuaan kulit merupakan akumulasi berbagai perubahan progresif yang terjadi pada sel dan jaringan kulit. Kulit manusia terdiri matriks ekstraseluler (MES) dermal dengan protein penyusunnya adalah kolagen. Selama penuaan, kolagen tipe I mengalami organisasi struktural, penurunan sintesis MES, peningkatan degradasi metaloproteinase mengakibatkan hilangnya kekuatan mekanik. Studi menunjukkan peran...